Use of threshold decomposition theory to derive basic properties of median filters

Robert W. Hawley; Neal C. Gallagher Jr.

doi:10.1117/12.44337

1 April 1991 Use of threshold decomposition theory to derive basic properties of median filters

Robert W. Hawley, Neal C. Gallagher Jr.

Proceedings Volume 1451, Nonlinear Image Processing II; (1991) https://doi.org/10.1117/12.44337
Event: Electronic Imaging '91, 1991, San Jose, CA, United States

Abstract

Necessary and sufficient conditions for a binary signal to be invariant to median filtering are derived. Proof is shown that one pass of a recursive median filter on a binary signal results in a new signal that is invariant to further median filtering. A technique is described whereby threshold decomposition theory and the stacking property can be used to generalize these results so that they may be applied to arbitrary k-valued signals.

Citation Download Citation

Robert W. Hawley and Neal C. Gallagher Jr. "Use of threshold decomposition theory to derive basic properties of median filters", Proc. SPIE 1451, Nonlinear Image Processing II, (1 April 1991); https://doi.org/10.1117/12.44337

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